There is a loose series of three films by De Chomón that feature the same character (he always wears the loud check suit and is always on the run from the police). This film is the first of them and here the Pathé catalogue compares the character to Arsène Lupin, but it is followed by Le Voleur invisible and Pickpock ne craint pas les entraves in 1909, I imagine in that order because the first of the films, which is also a kind of parody of the H. G. Wells novel, evidently decided De Chomón (assuming he directed all three films) to shift the scene to London, so that, whereas in the first film Pickpock has been chased by French policemen in the two sequels he is chased by British coppers.
There is, I think, a change in the actor although he looks quite similar and wears the same outfit. He is somewhat taller. I have a feeling that in this film it is the comedian André Deed playing the part but Deed defected about this time to Italy (not returning until about 1912). If I am right in believing this to be Deed, then the other actor is likely to be Paul Bertho, who also took over Deed's most famous comic series, "Boireau", while he was absent in Italy (where he played a character called "Cretinetti") and therefore most probably bore some resemblance to Deed.
De Chomón was not the first to borrow from The Invisible Man; Gaston Velle had already made a film called Les Invisibles in 1906 about a man who discovers the secret of invisibility and uses it for thieving. De Chomón regularly worked as cameraman for Velle, so would certainly have known of the film.
I hope this helps the gentleman who recalled having seen another similar film. But the whoel series seems to have been ultimately based (like so many of the trick films) on the work of Méliès - two lost films of 1899 - Force doit rester à la loi and Pickpocket et Policeman. There is also a Parnaland film of 1900, Le Cambrioleur insaisissable, which is very similar.
A very similar film was made even later in Italy for the company Itala in 1913,called Più forte che Sherlock Holmes/Stronger than Sherlock Homes by another French-born comic Emilio (Émile) Vardannes, who played a comic character called Totò. This story is framed as a dream where a crime-enthusiast imagines himself as a policeman chasing an equally elusive thief (played by Vardannes). It is again basically a trick film, supposedly directed by Giovanni Pastrone but once again filmed by Segundo De Chomón who was now working in Italy (and would be one of the cinematographers for Pastrone's great 1914 epic Cabiria). Apparently it was originally released in two episodes although only one short abridgement survives.
